Results 111 to 120 of about 23,566 (314)

SEMIPRIME AND NILPOTENT FUZZY LIE ALGEBRAS

open access: yesJournal of New Theory, 2016
– In this paper, we have introduced the concept of semiprime fuzzy Lie algebra and proved that every fuzzy Lie algebra of semiprime (nilpotent) Lie algebra is a semiprime (nilpotent)
Nour Alhouda Alhayek, Samer Sukkary
doaj  

Sextonians and the magic square [PDF]

open access: yes, 2006
Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and ...
BRUCE W. WESTBURY, Westbury, Bruce
core   +1 more source

Housing Warmth/Coolness and Quietness Correlate With Whole‐Brain Fractional Anisotropy in Healthy Adults

open access: yesBrain Health, EarlyView.
ABSTRACT Introduction Residential environments have been linked to brain structure, particularly in children, older adults, and clinical populations. However, little is known about how different dimensions of the housing environment relate to brain white matter microstructure in healthy adults, or whether specific environmental factors show stronger ...
Keisuke Kokubun   +3 more
wiley   +1 more source

On the Projective Algebra of Randers Metrics of Constant Flag Curvature

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
doaj   +1 more source

C-Supplemented Subalgebras of Lie Algebras. [PDF]

open access: yes, 2008
A subalgebra $B$ of a Lie algebra $L$ is c-{\it supplemented} in $L$ if there is a subalgebra $C$ of $L$ with $L = B + C$ and $B \cap C \leq B_L$, where $B_L$ is the core of $B$ in $L$.
Towers, David A.
core  

The Weil algebra and the Van Est isomorphism [PDF]

open access: yes, 2011
This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic   +9 more
core   +1 more source

Occupational Context Moderates the Association Between Agreeableness and Brain Structure

open access: yesBrain Health, EarlyView.
ABSTRACT Background Previous research on associations between personality traits and brain structure has yielded inconsistent findings, suggesting that such relationships may depend on contextual factors. Methods This study examined whether occupational context moderates the association between agreeableness and gray matter volume (GMV). Structural MRI
Keisuke Kokubun   +2 more
wiley   +1 more source

On derivations of linear algebras of a special type

open access: yesДифференциальная геометрия многообразий фигур
In this work, Lie algebras of differentiation of linear algebra, the op­eration of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov   +2 more
doaj   +1 more source

On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras

open access: yesJournal of Algebra, 2000
An algebra \(D\) is called third power associative in case \((xx)x=x(xx)\) for all \(x\in D\). The authors describe third power associative multiplications \(*\) on noncentral Lie ideals of prime associative algebras and skew elements of prime algebras with involution provided that \(x*y-y*x=[x,y]\) for all \(x,y\) and the prime algebras in question do
Beidar, K.I., Chebotar, M.A.
openaire   +1 more source

Inductive constructions for Lie bialgebras and Hopf algebras

open access: yes, 2006
In recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras.
Majid, Shahn   +3 more
core  

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